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Finding the Fourth Proportional to 1,683.86, 2,526.40 and 588.39

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Solution

The fourth proportional to 1,683.86, 2,526.40 and 588.39 is: 882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.86 : 2,526.40 = 588.39 : x
  2. Step 2: Convert to fraction form
    1,683.86/2,526.40 = 588.39/x
  3. Step 3: Cross multiply
    1,683.86x = 2,526.40 × 588.39
  4. Step 4: Simplify right side
    1,683.86x = 1,486,495.86
  5. Step 5: Solve for x
    x = 1,486,495.86/1,683.86
  6. Step 6: Final answer
    x = 882.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.